DISCHARGE. 
ie flrong el ee than in thofe which have but little 
vation. elotti alfo found that the — was a 
Tittle more pia ae as the seen wae gre 
This contra@tion o eae ie une to the 
‘various ain 
and from every part 
ai if fadt, when be aperture is very large in 
the fize of the veffel, the a ies fea 
ti 
meter, as w e aperture : then 
the contraGion, or the tendzecy to — the contraction, 
takes place within the et of the ieee r pipe. 
riot du'd, which rua from every 
part of the veffel in ab ae pce towards the aperture, 
partly crofs each cee at the wena coutrada ; and this croff- 
ing, or tendency to crofs, is one of the caufes which enlarge 
the ftream ig? ha that pla 
he velocity of the Lee is not the fame in every part of 
the fae fe fince the fame quantity of water ovat pafs 
‘through every aca feGlion of it in a given tim aa 
velocity (by prop. IT.) Be be inverfely as the area ae cac 
fcGiion. Therefore at the wena contrada the v velocity i is 
tthe ape. ee and, indeed, in the different cafes 
fhould be confidered as 
mo 
ws 
e tothe velocity of the fluid iffuing 
‘through se contraction, auch, as has been already obferved, 
is fuch a 
from the height of th 
city at the aperture itfelf is fuch as a body would acquire by 
falling perpendicularly from the da/f of that height. 
With refpe& to the quantity . — ae Mr. 
Boflut’s experiments, with peculiar 
Rice are ded aes, in 
charged through cutee ne in 
my of the Paris toot royal, which is . Gis Lotte foot, 
1066 to 1000. Boffut’s ety drodya, t ii. p. 47. 
— ‘Theoretical Difchar rges 
A eta altitude of the| inone Minute, cua Difcharges in the 
n the Refervoir] a circular Aperture ame Lime, through the] 
4 Mis ove hale = ture, in} Tin, Diameters ame Orificc, expreffe 
Varis Fee preifed in eubic ia alfo in cubic Inches. 
L 4381 2722 
q 2 6196 3846 
3 7589 4710 
4 8763 543 
5 9797 6075 
; 6 10732 6654 
7 11592 7183 
8 12392 7672 
9 13144 8135 
10 13855 8574 
a 1453 8990 
; 12 15180 9384 
13 197977] 9764 
¥4 16393 10130 
1g 16968 TOL72 
The following is another fet of experiments made by the 
fame author with different apertures, in which the water was 
Vou, XI, 
ele conflantly at the altitude of soe = eight Packie: 
en lines, from the centre of each aper 
Cubie Inches 
Experiments. furnifhed in 
one Minute, 
tr. With an pes, al cireular a 6 lines 
in dia 2317. 
e “ a vie horizontal aperture, 1 inch in 
eter 281, 
3- wh a circular Rausaaral aperture, 2 a 
n diamete 37203. 
4s With a ae horizontal aperture 1 inch 
by 3 line 29330 
5. With a aus horizontal aperture, the fide 
1 inch 11817. 
6. With a ee honeoutsl apertore, oS fide 2 
inches 17361. 
onftan eheghy of water 9 fee 
7. pei! reular oS 6 lines in Sime 20186 
8. Lat i eae lar aperture, 1X inch in 3135. 
cane beat of water 4 i 
g. Lateral ee ape: = 6 lines in diameter 1353 
ro, Lateral circular aperture, 1 inch ia reo 5430- 
Conttant heig ie of water, 7 li 
t. Lateral and ae orifice, 1 inch in aaieier 628. 
. thefe fi we may derive the following des 
aca VIR, 
.T 
antities of water difcharged, in equal times, 
by the fame foun with different altitudes of water in 
the refervoir, are ane as the (quate roots of the corre~ 
oe cae - the water in the refervoir above the 
of th 
ntre o1 the aper 
“3 hat, in eee the quan aa = water di{charged, 
the fame time, by different apertures, and under unequal 
akinade of the water in the er nana aye fe o each other in a 
mpound ratio of the areas of the apertures, aad the fquare 
ee of the altitu 
That, on account of the friGtion, the f{malleft aper- 
tures difcharge lefs water than thofe that are larger and of 
a fimilar ane the water in the refpeCtive refervoirs being 
at the fam 
5. ie oo feveral apertures whofe areas are equal, t 
which has the {malleft circumference will difcharge more 
water than the others, the water in the aa Cane at 
t itude, and this be cane ae s lefs fri€tion. 
Hence circular apertures are otageou 5 as they 
have lefs rubbing furface under the nee 
ar we have treated of fimple ees but if to the 
cular aperture on the fide of a veffel, there be applied a 
cylin pipe of the fame diameter, and var Ae is 
equal to from two to four times ig. 1 
then a cae quart ty of water wili be ‘thagee through 
ee than through the sate spar in an. equal dang of 
very other nftance remaining the fame; the 
qin a ‘oi Sicaeed. in ge two wales being as 
133 to 100 nearly. . 
The on B, or any other castor of any thape 
which is an nee the aperture of a , has been called 
eg a aa its property of aa the difcharge 
£ the fluid 
wit has eas been e@>dferved, that the difcharge, in a 
given time, is the fame, w whether the aperture be furniihed 
with the Chercnent cylindric pipe, or with the p'pe 
5A reprefented 
